A new electromechanical analogy approach based on electrostatic coupling for vertical dynamic analysis of planar vehicle models

TL;DR

This paper introduces a novel electromechanical analogy based on electrostatic coupling for analyzing the vertical dynamics of planar vehicle models, enabling new insights and methods in vehicle system analysis.

Contribution

It presents a new analogy between inertial coupling and electrostatic capacitive coupling, applied to vehicle models, which has not been previously reported.

Findings

The analogy simplifies the analysis of vehicle models.

Numerical results demonstrate the effectiveness of the analogy.

Mechanical and electrical equations are successfully compared for steady state analysis.

Abstract

Analogies between mechanical and electrical systems have been developed and applied for almost a century, and they have proved their usefulness in the study of mechanical and electrical systems. The development of new elements such as the inerter or the memristor is a clear example. However, new applications and possibilities of using these analogues still remain to be explored. In this work, the electrical analogues of different vehicle models are presented. A new and not previously reported analogy between inertial coupling and electrostatic capacitive coupling is found and described. Several examples are provided to highlight the benefits of this analogy. Well-known mechanical systems like the half-car or three three-axle vehicle models are discussed and some numerical results are presented. To the best of the author's knowledge, such systems were never dealt with by using a full electromechanical analogy. The mechanical equations are also derived and compared with those of the electrical domain for harmonic steady state analysis.